Let R be the region to the right of the y-axis that is bounded between the curves y = 8x³. - x and y = x. No integrals are computed in this problem, but explain your reasoning. 4.a Sketch both curves and the region R in the Cartesian plane. Include and justify the values of each curve intercept and intersection point. 4.b The region R has two boundary curves: a top curve and a bottom curve. Set up (but do not compute) an integral that gives the area of the surface obtained by revolving the bottom boundary curve about the y-axis. 4.c Suppose we want to compute the volume of the solid obtained by revolving R about the y-axis by MAT104 techniques. Would it preferable to use the Shell Method, the Washer Method or would they be equally as difficult to set up?